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## QuestionMathsClass 7

A path $${1}{m}$$ wide is built along the border and inside a square garden of side $${30}{m}.$$ Find: (i) the area of the path (ii) the cost of planting grass in the remaining portion of the garden at the rate of $${R}{s}{40}$$ per $${m}^{{2}}$$

With the given details, we can have two squares with $${1}$$ m wide path.

The area of path will be the difference between these two squares area.

Please refer to video for the diagram of these two squares.

Side of outer square $$={30}{m}$$

Area of outer square $$={30}^{{2}}={900}{m}^{{2}}$$

Side of inner square $$={30}-{1}-{1}={28}{m}$$

Area of inner square $$={28}^{{2}}={784}{m}^{{2}}$$

So, required area of path $$={900}-{784}={116}$$m^2

The cost of planting grass in the remaining portion of the garden $$={784}\ast{40}={31360}$$ Rs